For , . Determine the exact value of , where…

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

For x≥1x\ge1, g(x)=∫1x(ln⁡t)2 dtg(x)=\displaystyle\int_{1}^{x} (\ln t)^2\,dt. Determine the exact value of f(5)f(5), where g′(x)=f(x)g'(x)=f(x).

Related theory

Browse the problem library